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450650440 = 23515174611
BaseRepresentation
bin11010110111000…
…110000101001000
31011101222102012001
4122313012011020
51410331303230
6112415000344
714111315452
oct3267060510
91141872161
10450650440
11211420389
12106b090b4
1372496a86
1443bcb2d2
152986b0ca
hex1adc6148

450650440 has 32 divisors (see below), whose sum is σ = 1020692160. Its totient is φ = 179064000.

The previous prime is 450650413. The next prime is 450650443. The reversal of 450650440 is 44056054.

It is a super-3 number, since 3×4506504403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450650399 and 450650408.

It is not an unprimeable number, because it can be changed into a prime (450650443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31266 + ... + 43345.

It is an arithmetic number, because the mean of its divisors is an integer number (31896630).

Almost surely, 2450650440 is an apocalyptic number.

450650440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450650440 is an abundant number, since it is smaller than the sum of its proper divisors (570041720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450650440 is a wasteful number, since it uses less digits than its factorization.

450650440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74773 (or 74769 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 450650440 is about 21228.5289174733. The cubic root of 450650440 is about 766.6784682073.

It can be divided in two parts, 4506 and 50440, that added together give a triangular number (54946 = T331).

The spelling of 450650440 in words is "four hundred fifty million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 74611 149222 298444 373055 596888 746110 1492220 2984440 11266261 22532522 45065044 56331305 90130088 112662610 225325220 450650440